class_docstr: Class for the ProductPositiveRealsAndComplexPoincareDisks manifold.
  
  The positive reals and complex Poincaré disks product manifold is a
  direct product of the positive reals manifold and (n-1) complex Poincaré disks.
  Each manifold of the product is a one-dimensional manifold.
  
  Parameters
  ----------
  n_manifolds : int
      Number of manifolds of the product.
code: def __init__(self, n_manifolds, equip=True):
      self.n_manifolds = n_manifolds
  
      factors = [PositiveReals(equip=False)] + [
          ComplexPoincareDisk() for _ in range(n_manifolds - 1)
      ]
  
      scales = [
          float(n_manifolds - i_manifold)
          for i_manifold in range(n_manifolds)
      ]
      factors[0].metric = ScalarProductMetric(
          PositiveRealsMetric(factors[0]), scales[0]
      )
      for factor, scale in zip(factors[1:], scales[1:]):
          factor.metric = ScalarProductMetric(
              ComplexPoincareDiskMetric(factor), scale
          )
  
      super().__init__(
          factors=factors, default_point_type="other", equip=equip
      )
  
file_path: geomstats/geomstats/geometry/product_positive_reals_and_poincare_disks.py
imports: from geomstats.geometry.complex_poincare_disk import ComplexPoincareDisk, ComplexPoincareDiskMetric
  from geomstats.geometry.positive_reals import PositiveReals, PositiveRealsMetric
  from geomstats.geometry.product_manifold import ProductManifold, ProductRiemannianMetric
  from geomstats.geometry.scalar_product_metric import ScalarProductMetric
label_desc: Use image node_id 1 to create a new ProductPositiveRealsAndComplexPoincareDisks object from inherited base classes: ProductManifold with example: obj = ProductPositiveRealsAndComplexPoincareDisks(n_manifolds, equip)